Jason Wilcox’s side have secured the Barclays U18 Premier League North Division title in recent weeks, and they will be looking to continue that success at the Academy Stadium.
The young Blues have been in excellent form so far this season, and have scored ten goals in their three FA Youth Cup outings.
City sealed their spot in the quarter final with a 3-1 extra-time win over Wigan Athletic in the fifth round thanks to goals from Will Patching, Lukas Nmecha and Isaac Buckley.
Manager Wilcox told mcfc.co.uk that a big crowd at the Academy Stadium would give his side a boost.
“What was really pleasing last year was and what really excites the lads is when City fans come down to support us,” Wilcox said.
“It makes such a big difference to the lads and I would be delighted to see a big crowd supporting us against Norwich.”
He continued: “I think the more fans we have here, the better it is for the lads, and when we do need that extra player on the pitch, the fans can act as the 12th man.”
Norwich started their FA Youth Cup campaign in early December, beating Hull City 3-1 before progressing past Sunderland with a 4-1 victory.
That win set up a fifth round tie with Middlesbrough at Carrow Road, with the Canaries coming out on top in a nine-goal thriller.
Norwich found themselves 4-1 down at one point before a superb comeback saw them seal in place in the quarter-final with a 5-4 win after-extra-time.
A win for the Blues will set up a semi-final clash with either Arsenal or Liverpool.
We’ll have full coverage of the game on our Twitter account, @MCFC, as well as a report and reaction on mcfc.co.uk shortly after full time.
Tickets for the game are priced at £3 for Adults and £1 for Concessions and can be purchased here or at the ticket booths outside the Academy Stadium. Seasoncard holders and Cityzens can claim a free ticket to this game.